tRANSCRIBE THE FOLLOWING SOLUTION PLEAS WRITE IN DIGITAL FORMAT DIGITAL FORMAT!
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tRANSCRIBE THE FOLLOWING SOLUTION
PLEAS WRITE IN DIGITAL FORMAT
DIGITAL FORMAT!
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- Note: You may need to assume the fact that lim M→+∞ Mne−M = 0 for all n.Sales of the text Calculus and You have been declining continuously at a rate of 2% per year. Assuming that Calculus and You currently sells 4,700 copies per year and that sales will continue this pattern of decline, calculate total future sales of the text. HINT [Use a model of the form Aert.]Compute this limit to infinity limx→∞ of (7x^3 + 2020x+ 4)/(πx^3+ 18x^2+ 12)compute lim as x goes to infinity of ln(x)^1/ln(x)
- show that : Lim h→0 h / √5h + 4 − 2 =4/5Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.Let ƒ(x) = (x2 - 1)/( | x| - 1). Make tables of the values of ƒ at values of x that approach c = -1 from above and below. Then estimate limx→ -1 ƒ(x).
- Evaluate the following: 1. lim √(6-y) - 2 y-> 2- y2 - 4 y + 4 2. lim |2t-1| - |2t+1| t-> 0- |t|3. lim ( v2 [[v]] - |v-4| ) v-> 2-4. lim [[x]] - |x| x-> 0+ [[x]] + 1Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a exist otherwise enter 0.The limit as x approaches infinty of (x+3^x)/(x^2-3^x) Evaulate using L'Hospital's Rule providing a real solution
- n is not a negative integer Given n ≥ 0; justify that limx->∞ fn (x) / ex = 0compute: Lim x2 + 12x -5 (x->1) Lim x+2/x2-4. (x->1) Lim x2-9/x2-x-6 (x->3)9. Given that limx→3 f(x) = 2 and limx→3 g(x) = −5 compute the following limits:(a) limx→32f(x) = (b) limx→3f(x) − 4g(x) = (c) limx→3g(x) + 3−2 + 3f(x) =